Question

Suppose GameStop charges nonmembers $8 to rent each game. A store membership costs $25 and members pay only $2.50 to rent each game. For what umber of games is the cost the same?

Answer 1

Answer:

Explanation:

Suppose GameStop charges nonmembers $8 to rent each game.

A non member plays x number of games. The cost of x number of games is 8 × x = $8x

A store membership costs $25 and members pay only $2.50 to rent each game. A member plays y number of games for 2.5×y + fixed cost(membership cost) of $25

y number of games cost 2.5y +25

Since we are looking for the same number of games,y = x

8x = 2.5x +25

8x - 2.5x = 25

5.5x =25

x = 25/5.5 = 4.54

Approximately 5 games

Answer 2

4 6/11 games

Explanation:

Let g represent the number of games that makes non-member cost equal to member cost. Non-member cost of renting g games is 8g. Member cost is 25+2.50g. These are equal when ...

8g = 25 +2.50g

5.50g = 25

g = 25/5.50 = 50/11 = 4 6/11

The cost is the same when the number of games rented is 4 6/11.

_____

There is no integer number of games that can be rented to make the costs be the same.